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Finding the Fourth Proportional to 380,044.80, 569,710.80 and 143,546.40

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Solution

The fourth proportional to 380,044.80, 569,710.80 and 143,546.40 is: 215,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,044.80 : 569,710.80 = 143,546.40 : x
  2. Step 2: Convert to fraction form
    380,044.80/569,710.80 = 143,546.40/x
  3. Step 3: Cross multiply
    380,044.80x = 569,710.80 × 143,546.40
  4. Step 4: Simplify right side
    380,044.80x = 81,779,934,381.12
  5. Step 5: Solve for x
    x = 81,779,934,381.12/380,044.80
  6. Step 6: Final answer
    x = 215,184.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.